Search a number
-
+
314001223240432 = 247131069201740113
BaseRepresentation
bin100011101100101010001101…
…1010111101100101011110000
31112011210020001010121121000211
41013121110123113230223300
5312124044001122143212
63031454100501353504
7123065561013412240
oct10731243327545360
91464706033547024
10314001223240432
1191061197584812
122b27365a408894
131062925a8c9570
145777a51523b20
152647d5bd389a7
hex11d951b5ecaf0

314001223240432 has 80 divisors (see below), whose sum is σ = 749472593114560. Its totient is φ = 124104061218816.

The previous prime is 314001223240409. The next prime is 314001223240493. The reversal of 314001223240432 is 234042322100413.

It is a super-2 number, since 2×3140012232404322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314001223240394 and 314001223240403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99313593 + ... + 102426520.

It is an arithmetic number, because the mean of its divisors is an integer number (9368407413932).

Almost surely, 2314001223240432 is an apocalyptic number.

It is an amenable number.

314001223240432 is an abundant number, since it is smaller than the sum of its proper divisors (435471369874128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314001223240432 is a wasteful number, since it uses less digits than its factorization.

314001223240432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201741210 (or 201741204 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 314001223240432 its reverse (234042322100413), we get a palindrome (548043545340845).

The spelling of 314001223240432 in words is "three hundred fourteen trillion, one billion, two hundred twenty-three million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1069 1456 2138 4276 7483 8552 13897 14966 17104 27794 29932 55588 59864 97279 111176 119728 194558 222352 389116 778232 1556464 201740113 403480226 806960452 1412180791 1613920904 2622621469 2824361582 3227841808 5245242938 5648723164 10490485876 11297446328 18358350283 20980971752 22594892656 36716700566 41961943504 73433401132 146866802264 215660180797 293733604528 431320361594 862640723188 1509621265579 1725281446376 2803582350361 3019242531158 3450562892752 5607164700722 6038485062316 11214329401444 12076970124632 19625076452527 22428658802888 24153940249264 39250152905054 44857317605776 78500305810108 157000611620216 314001223240432